Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.

Answer: the height of the statue is 2.0565 ft.

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2 years ago

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Mrs. Avery's class ate 1/5 of their green pepper pizza and 9/12 of their pepperoni pizza. Which pizza did they eat more of?

Anton [14]

So what you have to do is make the denominators equal. You do that by finding out what number they can both go into which is 60. 12 can go into 60 5 times and so you have to do 9/12 times 5 which is 40/60. then 5 goes into 60 12 times so you have to do 1/5 times 5 which is 12/60. Then you see that 40/60 >12/60 therefore the class ate more of the pepperoni pizza

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2 years ago

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